Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function

Abstract In the article, we present several new monotonicity properties and bounds involving the generalized Grötzsch ring functions μ a , b $\mu _{a,b}$ in the theory of Ramanujan’s generalized modular equation for 0 < a , b < 1 $0< a, b<1$ . Our results are the variants and extensions...

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Bibliographic Details
Main Authors: Guo-Jing Hai, Tie-Hong Zhao
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02327-7